Simple groups with orders 2^a3^b5^cp^d, 2^a3^b7^cp^d and 2^a3^b5^c7^d

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This work deals with the power exponent r1 and r2 respectively of the maximal and second-maximal prime factors of the order of simple K4-group, and the classification for simple {5,7}'- K4-group G (i.e. |G| can not be divided by 5 nor by 7 or |π(G)| =
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